计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2008-1/2007|+|1/2009-1
5个回答
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5………………-1/2009
=1-1/2009
=2009/2009
相关问题
1/1*2+1/2*3+1/3*4+...+1/2007*2008+1/2008*2009
1/(√2009+√2008)+1/(√2008+√2007)+.+1/(√3+√2)+1/(√2+1)
计算:1乘2/1 + 2乘3/1 + 3乘4/1 +…………+2007乘2008/1+2008乘2009/1 /为分数线
|1/2009-1/2008|+|1/2008-1/2007|+……+|1/3-1/2|+|1/2-1|=?
计算 1+2+3+…+2007+2008+2009+2008+2007+...+3+2+1 = 写出计算过程
计算:1-2+3-4+…+2007-2008+2009=______.
用规律计算(-1*2/1)+ (-2/1*3/1)+(-3/1*4/1)+...+(-2007/1*2008/1)
计算(1+1/1×3)(1+1/2×4)(1+1/3×5)……(1+1/2006×2008)(1+1/2007×2009
(1-1/2009)(1-1/2008)(1-1/2007)……(1-1/3)(1-1/2)